论文标题
广义单变量分布和新的不对称拉普拉斯模型
Generalized Univariate Distributions and a New Asymmetric Laplace Model
论文作者
论文摘要
这项工作提供了对从β随机变量的混合物产生的一般分布类别的调查。我们对文献进行了广泛的审查,涉及通过反CDF转换产生新的分布。特别是,我们考虑了生成的β和Kumaraswamy产生的分布家庭。我们简要摘要就他们的每个分布家庭提供了简要介绍。我们还提出了一种新的不对称混合物分布,这是β产生的分布的替代品。我们提供了从Laplace模型生成的新类别的基本属性。我们还解决了这种新偏斜的广义拉普拉斯模型的参数估计问题。
This work provides a survey of the general class of distributions generated from the mixture of the beta random variables. We provide an extensive review of the literature, concerning generating new distributions via the inverse CDF transformation. In particular, we accounted for beta generated and Kumaraswamy generated families of distributions. We provide a brief summary of each of their families of distributions. We also propose a new asymmetric mixture distribution, which is an alternative to beta generated distributions. We provide basic properties of this new class of distributions generated from the Laplace model. We also address the issue of parameter estimation of this new skew generalized Laplace model.